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Julli [10]
3 years ago
6

Jay and Kevin are shoveling the snow off a driveway. Working together, they can clear the driveway of snow in 14 minutes. Workin

g alone, it
would take Kevin 21 minutes longer to clear the driveway of snow than it would take Jay working alone. When is the number of minutes it
would take Jay to clear the driveway of snow when working alone, the situation is modeled by this rational equation:
1/j + 1/j +21 = 1/14
How long would it take Jay to clear the driveway of snow working alone?
А.
7 minutes
В.
21 minutes
C.
35 minutes
D
42 minutes
Mathematics
2 answers:
ch4aika [34]3 years ago
7 0

Answer:

21

Step-by-step explanation:

His teacher said so

Veseljchak [2.6K]3 years ago
3 0

Answer:

21

Step-by-step explanation:

my teacher said so

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The x coordinate of the solution to the system of equations y=x+4 and 3y=-2x+2
Vera_Pavlovna [14]
<h2>Hello!</h2>

The answer is:

The x-coordinate of the solution to the system of equations is:

x=-2

<h2>Why?</h2>

We can solve the problem writing both equations as a system of equations.

So, we are given the equations:

\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.

Then, solving by reduction we have:

Multiplying the first equation by 2 in order to reduce the variable "x", we have:

\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.

5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2

Now, substituting "y" into the first equation, to isolate "x" we have:

y=x+4\\\\2=x+4\\\\x=2-4=-2

Hence we have that the x-coordinate of the solution to the system of equations is

x=-2

Have a nice day!

3 0
3 years ago
Read 2 more answers
Solve the compound inequality 10 + x &lt; 20 and 4x &gt; -24
kotykmax [81]

Answer:

c

Step-by-step explanation:

1.) move all terms that are not x to the right side.of the inequalities.

10+x≤20 <u>4x</u>≥<u>-24</u>

-10 -10 4 4

x≤10 x≥-6

2.) combine the two equations to make -6≤x≤10

6 0
3 years ago
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
mixas84 [53]

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

a_4=a_1+(n-1)d

Therefore

For seventh term

5=23+(6)d\\\\d=5-23/(6)\\\\d=-3

Therefore

For Fourth term

a_4=23+(3*(-3))

a_4=14

For more information on this visit

brainly.com/question/23366835

4 0
3 years ago
A blueberry recipe calls for 1\frac{3}{4} cups of sugar. How many cups of sugar would need to make the muffin recipe 3 times?
liraira [26]

Answer:

4 3/4

Step-by-step explanation:

Just multiply 1 3/4 and 3 = 4 3/4

4 0
3 years ago
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is
Colt1911 [192]

Answer:

  • 2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

Step-by-step explanation:

  • <em>Easy way to take one of the vertices and apply the transformations</em>

1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.

  • False

2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

  • True
  • (-3, 3) →  (3, 3) → (3 - 10, 3 - 9) = (-7, -6)

3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.

  • False

4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.

  • False
4 0
3 years ago
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